Problem

Write each of the following numerals in base 10. For base twelve, $T$ and $E$ represent the face values ten and eleven, respectively. a. $411_{\text {five }}$ b. $11101_{\text {two }}$ c. $23 \mathrm{~T}_{\text {twelve }}$

Solution

Step 1 :\(4*5^2 + 1*5^1 + 1*5^0 = 100 + 5 + 1\)

Step 2 :\(\boxed{106_{\text {ten }}}\)

Step 3 :\(1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 16 + 8 + 4 + 0 + 1\)

Step 4 :\(\boxed{29_{\text {ten }}}\)

Step 5 :\(2*12^2 + 3*12^1 + 10*12^0 = 288 + 36 + 10\)

Step 6 :\(\boxed{334_{\text {ten }}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/HpMsWgtPfW/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download